Wall clock time and date at job start Sat Apr 11 2020 06:12:06 AMSOL-version 7.1 by G. D. Hawkins, D. J. Giesen, G. C. Lynch, C. C. Chambers, I. Rossi, J. W. Storer, J. Li, J. D. Thompson, P. Winget, B. J. Lynch, D. Rinaldi, D. A. Liotard, C. J. Cramer, and D. G. Truhlar Copyright 2004 by Regents of the University of Minnesota. All rights reserved. Notice: recipients of this code are asked to comply with the user agreement in Section 1 of the documentation file. ******************************************************************************* * 1SCF - SCF CALCULATION WITHOUT GEOMETRY OPTIMIZATION * - USE EF ROUTINE FOR MINIMUM SEARCH (DEFAULT) * GEO-OK - OVERRIDE INTERATOMIC DISTANCE CHECK * TLIMIT= - A TIME OF 15. SECONDS REQUESTED * CHARGE - CHARGE ON SYSTEM= -1 * AM1 - THE AM1 HAMILTONIAN TO BE USED * DEV - DEVELOPER OPTIONS ARE ALLOWED * SM5.42R - SM5.42R CALCULATIONS WILL BE PERFORMED * - CHARGE MODEL 2 WILL BE USED (CM2A) * - THE SOLVENT IS USER-SPECIFIED * DIELEC - THE SOLVENT DIELECTRIC CONSTANT IS 2.06 * IOFR - THE SOLVENT INDEX OF REFRACTION IS 1.4345 * ALPHA - THE SOLVENT ALPHA IS 0.00 * BETA - THE SOLVENT BETA IS 0.00 * GAMMA - THE SOLVENT MACROSCOPIC SURFACE TENSION IS * 38.93 CAL MOL^-1 ANGSTROM^-2 * FACARB - THE FRACTION OF AROMATIC CARBONS IS 0.00 * FEHALO - THE FRACTION OF ELECTRONEGATIVE HALOGENS IS 0.00 ******************************************************************************* Atom NO. Chemical Bond length Bond angle Dihedral angle number (k) symbol (angstroms) (degrees) (degrees) (I) NA:I NB:NA:I NC:NB:NA:I NA NB NC 1 1 C 2 2 O 1.42904 * 1 3 3 C 1.42892 * 113.99781 * 2 1 4 4 H 1.09001 * 109.47751 * 30.00122 * 3 2 1 5 5 C 1.50702 * 109.47199 * 269.99556 * 3 2 1 6 6 O 1.21281 * 119.99752 * 355.00515 * 5 3 2 7 7 N 1.34779 * 119.99855 * 175.00266 * 5 3 2 8 8 C 1.46503 * 119.99491 * 180.02562 * 7 5 3 9 9 C 1.53006 * 109.46692 * 179.97438 * 8 7 5 10 10 H 1.08999 * 109.67690 * 59.25868 * 9 8 7 11 11 C 1.53294 * 109.68027 * 179.77890 * 9 8 7 12 12 O 1.42957 * 109.22126 * 172.02248 * 11 9 8 13 13 C 1.42959 * 114.17046 * 297.41809 * 12 11 9 14 14 C 1.53294 * 109.21882 * 62.58509 * 13 12 11 15 15 N 1.47151 * 108.38422 * 307.69081 * 14 13 12 16 16 C 1.36932 * 120.99007 * 230.55965 * 15 14 13 17 17 H 1.07999 * 120.00241 * 148.96768 * 16 15 14 18 18 C 1.38819 * 119.99976 * 328.97081 * 16 15 14 19 19 N 1.31625 * 119.99523 * 349.12200 * 18 16 15 20 20 Si 1.86799 * 120.00196 * 169.11660 * 18 16 15 21 21 H 1.48501 * 109.46682 * 90.00243 * 20 18 16 22 22 H 1.48496 * 109.46941 * 209.99887 * 20 18 16 23 23 H 1.48497 * 109.47284 * 330.00395 * 20 18 16 24 24 C 1.53004 * 109.47180 * 149.99707 * 3 2 1 25 25 C 1.53008 * 109.46966 * 59.99897 * 24 3 2 26 26 C 1.52991 * 109.47113 * 180.02562 * 25 24 3 27 27 C 1.53001 * 109.47415 * 60.00088 * 26 25 24 28 28 C 1.52996 * 109.46936 * 299.99775 * 27 26 25 29 29 C 1.53001 * 109.47249 * 60.00006 * 28 27 26 30 30 H 1.09007 * 109.46872 * 60.00135 * 1 2 3 31 31 H 1.09007 * 109.47017 * 180.02562 * 1 2 3 32 32 H 1.09002 * 109.47089 * 299.99969 * 1 2 3 33 33 H 0.96994 * 120.00048 * 0.02562 * 7 5 3 34 34 H 1.08995 * 109.46924 * 299.99661 * 8 7 5 35 35 H 1.09001 * 109.47176 * 60.00287 * 8 7 5 36 36 H 1.09000 * 109.51124 * 291.95135 * 11 9 8 37 37 H 1.08999 * 109.51216 * 52.04931 * 11 9 8 38 38 H 1.09007 * 109.51006 * 182.50298 * 13 12 11 39 39 H 1.08996 * 109.51320 * 302.65883 * 13 12 11 40 40 H 1.08999 * 109.68574 * 67.42144 * 14 13 12 41 41 H 1.09010 * 109.67879 * 187.97718 * 14 13 12 42 42 H 0.96997 * 119.99481 * 180.02562 * 19 18 16 43 43 H 1.08992 * 109.47503 * 179.97438 * 24 3 2 44 44 H 1.09002 * 109.46771 * 300.00144 * 25 24 3 45 45 H 1.09003 * 109.46910 * 59.99822 * 25 24 3 46 46 H 1.09002 * 109.47258 * 299.99648 * 26 25 24 47 47 H 1.09001 * 109.47283 * 179.97438 * 26 25 24 48 48 H 1.09002 * 109.47195 * 179.97438 * 27 26 25 49 49 H 1.09002 * 109.46818 * 59.99854 * 27 26 25 50 50 H 1.09001 * 109.47684 * 300.00192 * 28 27 26 51 51 H 1.08998 * 109.47277 * 179.97438 * 28 27 26 52 52 H 1.09001 * 109.47647 * 179.97438 * 29 28 27 53 53 H 1.09002 * 109.47151 * 59.99526 * 29 28 27 Note: An asterisk (*) indicates this parameter was or will be optimized. Cartesian coordinates (angstroms) NO. Atom X Y Z 1 6 0.0000 0.0000 0.0000 2 8 1.4290 0.0000 0.0000 3 6 2.0102 1.3054 0.0000 4 1 1.3450 1.9994 0.5138 5 6 2.2146 1.7643 -1.4208 6 8 1.9792 1.0105 -2.3413 7 7 2.6589 3.0124 -1.6685 8 6 2.8571 3.4586 -3.0498 9 6 3.3620 4.9030 -3.0516 10 1 4.3014 4.9641 -2.5022 11 6 3.5763 5.3731 -4.4949 12 8 3.8670 6.7728 -4.4956 13 6 2.8096 7.5905 -3.9886 14 6 2.5561 7.2339 -2.5194 15 7 2.3609 5.7787 -2.4220 16 6 1.2795 5.2548 -1.7654 17 1 0.8566 4.3142 -2.0861 18 6 0.7267 5.9327 -0.6874 19 7 1.3601 6.9594 -0.1609 20 14 -0.9160 5.3881 0.0156 21 1 -0.6880 4.3821 1.0839 22 1 -1.6247 6.5625 0.5846 23 1 -1.7410 4.7867 -1.0627 24 6 3.3589 1.2633 0.7213 25 6 4.2928 0.2892 0.0001 26 6 5.6411 0.2466 0.7217 27 6 5.4332 -0.2197 2.1641 28 6 4.4995 0.7544 2.8853 29 6 3.1510 0.7971 2.1637 30 1 -0.3633 0.5139 -0.8901 31 1 -0.3633 -1.0277 0.0005 32 1 -0.3633 0.5138 0.8900 33 1 2.8475 3.6151 -0.9324 34 1 3.5904 2.8164 -3.5374 35 1 1.9111 3.4041 -3.5885 36 1 4.4109 4.8276 -4.9353 37 1 2.6730 5.1878 -5.0761 38 1 3.0928 8.6404 -4.0648 39 1 1.9032 7.4141 -4.5677 40 1 3.4143 7.5304 -1.9163 41 1 1.6627 7.7486 -2.1656 42 1 0.9741 7.4328 0.5926 43 1 3.8024 2.2589 0.7210 44 1 3.8494 -0.7066 0.0001 45 1 4.4405 0.6211 -1.0276 46 1 6.0847 1.2423 0.7220 47 1 6.3063 -0.4477 0.2082 48 1 6.3940 -0.2504 2.6780 49 1 4.9897 -1.2153 2.1636 50 1 4.9429 1.7501 2.8856 51 1 4.3510 0.4220 3.9127 52 1 2.4855 1.4906 2.6777 53 1 2.7074 -0.1986 2.1633 RHF calculation, no. of doubly occupied orbitals= 66 REFERENCES FOR PARAMETERS IN GAS-PHASE HAMILTONIAN: H: (AM1): M.J.S. DEWAR ET AL, J. AM. CHEM. SOC. 107 3902-3909 (1985) C: (AM1): M.J.S. DEWAR ET AL, J. AM. CHEM. SOC. 107 3902-3909 (1985) N: (AM1): M.J.S. DEWAR ET AL, J. AM. CHEM. SOC. 107 3902-3909 (1985) O: (AM1): M.J.S. DEWAR ET AL, J. AM. CHEM. SOC. 107 3902-3909 (1985) Si: (AM1): M.J.S.DEWAR, C. JIE, ORGANOMETALLICS, 6, 1486-1490 (1987). REFERENCE FOR CHARGE MODEL 2: J. Li, J. Xing, C. J. Cramer, and D. G. Truhlar, J. Chem. Phys. 111 (1999) 885. REFERENCE FOR THE PARAMETERIZATION OF THE SM5.42R SOLVATION MODEL: J. Li, T. Zhu, G. D. Hawkins, P. Winget, D. A. Liotard, C. J. Cramer, and D. G. Truhlar, Theor. Chem. Acc. 103 (1999) 9-63 P. Winget, J. D. Thompson C. J. Cramer,and D. G. Truhlar, J. Phys. Chem. B. submitted. CHARGE=-1 AM1 1SCF TLIMIT=15 GEO-OK SM5.42R & SOLVNT=GENORG IOFR=1.4345 ALPHA=0.00 BETA=0.00 GAMMA=38.93 & DIELEC=2.06 FACARB=0.00 FEHALO=0.00 DEV ZINC001501848271.mol2 53 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Sat Apr 11 2020 06:12:06 Heat of formation + Delta-G solvation = -120.976736 kcal Electronic energy + Delta-G solvation = -32812.754557 eV Core-core repulsion = 28684.546354 eV Total energy + Delta-G solvation = -4128.208204 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.24 seconds Orbital eigenvalues (eV) -40.08732 -38.68796 -37.88340 -36.82831 -35.25075 -33.60492 -32.24240 -31.29449 -30.69089 -30.41425 -27.50483 -27.10102 -26.19218 -24.66020 -23.49376 -22.62225 -21.97359 -21.48894 -19.91803 -19.63964 -19.44963 -17.31730 -16.52540 -16.36132 -16.10945 -15.69861 -15.57156 -14.88620 -14.63949 -14.54140 -14.30025 -14.26293 -14.06715 -13.97335 -13.74876 -13.58496 -13.37154 -13.08830 -12.81142 -12.67370 -12.15256 -12.05759 -11.90240 -11.73934 -11.56233 -11.25145 -11.10431 -11.04094 -10.96477 -10.93421 -10.78223 -10.45321 -10.40415 -10.32235 -10.27670 -10.10828 -10.08656 -9.94172 -9.69631 -9.12605 -8.76434 -8.72059 -8.28735 -6.77933 -5.96357 -3.45595 3.12558 3.18817 3.29627 3.31872 3.56081 4.06035 4.27897 4.50380 4.67732 4.73145 4.80501 5.09105 5.15308 5.19332 5.21322 5.31298 5.39289 5.41189 5.50029 5.55806 5.58210 5.59468 5.62796 5.68901 5.71703 5.72642 5.83314 5.83826 5.93126 5.99607 6.05744 6.07356 6.12933 6.17494 6.18874 6.20618 6.27379 6.29319 6.30189 6.40800 6.49536 6.58639 6.73018 7.03645 7.07707 7.20352 7.45027 7.64305 7.83782 8.19591 8.24513 8.81851 9.00246 9.60632 10.20240 11.10162 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.010467 B = 0.004332 C = 0.003814 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2674.371645 B = 6461.305719 C = 7339.437411 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.029 3.971 2 O -0.355 6.355 3 C 0.076 3.924 4 H 0.085 0.915 5 C 0.490 3.510 6 O -0.549 6.549 7 N -0.693 5.693 8 C 0.136 3.864 9 C 0.125 3.875 10 H 0.042 0.958 11 C 0.056 3.944 12 O -0.392 6.392 13 C 0.035 3.965 14 C 0.144 3.856 15 N -0.591 5.591 16 C -0.253 4.253 17 H 0.072 0.928 18 C 0.009 3.991 19 N -0.899 5.899 20 Si 0.892 3.108 21 H -0.285 1.285 22 H -0.287 1.287 23 H -0.279 1.279 24 C -0.075 4.075 25 C -0.109 4.109 26 C -0.119 4.119 27 C -0.118 4.118 28 C -0.118 4.118 29 C -0.111 4.111 30 H 0.045 0.955 31 H 0.085 0.915 32 H 0.039 0.961 33 H 0.414 0.586 34 H 0.058 0.942 35 H 0.065 0.935 36 H 0.083 0.917 37 H 0.046 0.954 38 H 0.079 0.921 39 H 0.040 0.960 40 H 0.029 0.971 41 H 0.092 0.908 42 H 0.256 0.744 43 H 0.087 0.913 44 H 0.071 0.929 45 H 0.061 0.939 46 H 0.061 0.939 47 H 0.059 0.941 48 H 0.057 0.943 49 H 0.060 0.940 50 H 0.062 0.938 51 H 0.059 0.941 52 H 0.061 0.939 53 H 0.071 0.929 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 4.805 -8.984 2.999 10.621 Note: The Mulliken population analysis charges presented below were not used in the solvation calculation but are provided for completeness. The chosen solvation model uses CM2 partial charges for calculating solvation energies. Net atomic charges, atomic populations, and dipole contributions using Mulliken population analysis Atom NO. Type Charge No. of electrons 1 C -0.067 4.067 2 O -0.272 6.272 3 C 0.015 3.985 4 H 0.103 0.897 5 C 0.274 3.726 6 O -0.428 6.428 7 N -0.346 5.346 8 C 0.012 3.988 9 C 0.018 3.982 10 H 0.059 0.941 11 C -0.023 4.023 12 O -0.311 6.311 13 C -0.043 4.043 14 C 0.019 3.981 15 N -0.316 5.316 16 C -0.383 4.383 17 H 0.090 0.910 18 C -0.190 4.190 19 N -0.542 5.542 20 Si 0.722 3.278 21 H -0.212 1.212 22 H -0.213 1.213 23 H -0.204 1.204 24 C -0.094 4.094 25 C -0.147 4.147 26 C -0.156 4.156 27 C -0.156 4.156 28 C -0.156 4.156 29 C -0.149 4.149 30 H 0.063 0.937 31 H 0.104 0.896 32 H 0.058 0.942 33 H 0.251 0.749 34 H 0.076 0.924 35 H 0.084 0.916 36 H 0.101 0.899 37 H 0.065 0.935 38 H 0.098 0.902 39 H 0.059 0.941 40 H 0.048 0.952 41 H 0.110 0.890 42 H 0.066 0.934 43 H 0.105 0.895 44 H 0.090 0.910 45 H 0.080 0.920 46 H 0.080 0.920 47 H 0.078 0.922 48 H 0.076 0.924 49 H 0.079 0.921 50 H 0.081 0.919 51 H 0.078 0.922 52 H 0.080 0.920 53 H 0.090 0.910 Dipole moment (debyes) X Y Z Total from point charges 4.853 -9.504 2.432 10.945 hybrid contribution -1.445 0.408 0.855 1.728 sum 3.408 -9.095 3.286 10.254 Atomic orbital electron populations 1.22822 0.81172 1.02563 1.00176 1.87905 1.19512 1.25293 1.94502 1.22116 0.96829 0.86436 0.93140 0.89695 1.21081 0.77726 0.82079 0.91666 1.90642 1.51668 1.54460 1.46004 1.46027 1.65654 1.13293 1.09650 1.21145 1.00524 0.93744 0.83377 1.21428 0.93443 0.89685 0.93609 0.94095 1.22861 1.00098 0.82604 0.96742 1.87801 1.41780 1.16772 1.84740 1.23353 0.89467 0.93620 0.97884 1.21416 1.01556 0.84893 0.90276 1.44081 1.23852 1.00295 1.63411 1.19205 1.04729 1.06842 1.07516 0.91032 1.25128 0.98800 0.98750 0.96340 1.69972 1.37570 1.22185 1.24509 0.86454 0.84309 0.77963 0.79112 1.21222 1.21330 1.20407 1.21248 0.92483 1.00672 0.94987 1.21493 0.94456 1.00188 0.98532 1.21538 0.97254 1.01322 0.95511 1.21530 0.99060 0.99179 0.95800 1.21524 0.95662 0.99824 0.98581 1.21523 0.97158 1.02181 0.94013 0.93659 0.89640 0.94203 0.74860 0.92401 0.91627 0.89925 0.93537 0.90237 0.94136 0.95247 0.88959 0.93414 0.89478 0.90993 0.92020 0.92021 0.92219 0.92437 0.92095 0.91897 0.92182 0.92019 0.91034 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 17. Note: The number of geometries may not correspond to the number of cycles due to rejected geometry changes. In the following table subtotal= G_P + SS G_CDS. Atom Chem. CM2 G_P Area Sigma k SS G_CDS Subtotal M number symbol chg. (kcal) (Ang**2) cal/(Ang**2) (kcal) (kcal) value 1 C 0.03 0.41 10.81 101.05 1.09 1.50 16 2 O -0.36 -5.68 8.54 -55.09 -0.47 -6.15 16 3 C 0.08 1.22 2.26 -27.88 -0.06 1.16 16 4 H 0.09 1.37 7.79 -51.93 -0.40 0.97 16 5 C 0.49 9.09 5.87 -10.98 -0.06 9.02 16 6 O -0.55 -11.80 16.51 -14.31 -0.24 -12.04 16 7 N -0.69 -12.76 3.76 -60.29 -0.23 -12.99 16 8 C 0.14 2.50 4.44 -4.04 -0.02 2.48 16 9 C 0.13 2.40 3.20 -67.42 -0.22 2.19 16 10 H 0.04 0.82 8.14 -51.93 -0.42 0.39 16 11 C 0.06 0.98 6.29 37.31 0.23 1.22 16 12 O -0.39 -7.54 10.74 -35.23 -0.38 -7.92 16 13 C 0.03 0.66 6.98 37.31 0.26 0.92 16 14 C 0.14 3.20 5.38 -3.53 -0.02 3.18 16 15 N -0.59 -13.26 3.03 -164.29 -0.50 -13.76 16 16 C -0.25 -6.10 7.11 -15.06 -0.11 -6.21 16 17 H 0.07 1.77 5.81 -52.49 -0.30 1.46 16 18 C 0.01 0.23 5.06 -17.43 -0.09 0.15 16 19 N -0.90 -23.53 11.13 55.49 0.62 -22.91 16 20 Si 0.89 20.11 29.57 -169.99 -5.03 15.08 16 21 H -0.29 -6.28 7.11 56.52 0.40 -5.88 16 22 H -0.29 -6.62 7.11 56.52 0.40 -6.22 16 23 H -0.28 -6.37 7.11 56.52 0.40 -5.97 16 24 C -0.08 -1.02 2.04 -90.61 -0.19 -1.21 16 25 C -0.11 -1.46 4.81 -26.73 -0.13 -1.59 16 26 C -0.12 -1.32 5.92 -26.73 -0.16 -1.48 16 27 C -0.12 -1.19 5.92 -26.73 -0.16 -1.35 16 28 C -0.12 -1.23 5.92 -26.73 -0.16 -1.39 16 29 C -0.11 -1.33 5.06 -26.73 -0.14 -1.46 16 30 H 0.04 0.70 8.14 -51.93 -0.42 0.28 16 31 H 0.09 0.99 8.14 -51.92 -0.42 0.57 16 32 H 0.04 0.50 8.09 -51.93 -0.42 0.08 16 33 H 0.41 7.90 7.16 -40.82 -0.29 7.60 16 34 H 0.06 0.97 8.14 -51.93 -0.42 0.55 16 35 H 0.07 1.32 7.53 -51.93 -0.39 0.93 16 36 H 0.08 1.22 8.14 -51.93 -0.42 0.80 16 37 H 0.05 0.81 8.14 -51.93 -0.42 0.39 16 38 H 0.08 1.33 8.14 -51.92 -0.42 0.91 16 39 H 0.04 0.77 8.14 -51.93 -0.42 0.34 16 40 H 0.03 0.70 8.14 -51.93 -0.42 0.28 16 41 H 0.09 2.26 6.32 -51.92 -0.33 1.93 16 42 H 0.26 6.59 8.31 -40.82 -0.34 6.25 16 43 H 0.09 1.20 7.92 -51.93 -0.41 0.78 16 44 H 0.07 1.03 7.68 -51.93 -0.40 0.63 16 45 H 0.06 0.93 7.22 -51.93 -0.37 0.55 16 46 H 0.06 0.69 8.14 -51.93 -0.42 0.26 16 47 H 0.06 0.62 8.14 -51.93 -0.42 0.20 16 48 H 0.06 0.51 8.14 -51.93 -0.42 0.09 16 49 H 0.06 0.61 8.14 -51.93 -0.42 0.19 16 50 H 0.06 0.66 8.14 -51.93 -0.42 0.24 16 51 H 0.06 0.56 8.14 -51.93 -0.42 0.14 16 52 H 0.06 0.73 8.14 -51.93 -0.42 0.31 16 53 H 0.07 0.87 7.68 -51.93 -0.40 0.47 16 LS Contribution 403.44 15.07 6.08 6.08 Total: -1.00 -28.26 403.44 -9.67 -37.93 By element: Atomic # 1 Polarization: 19.15 SS G_CDS: -9.62 Total: 9.53 kcal Atomic # 6 Polarization: 7.05 SS G_CDS: 0.09 Total: 7.13 kcal Atomic # 7 Polarization: -49.54 SS G_CDS: -0.11 Total: -49.65 kcal Atomic # 8 Polarization: -25.02 SS G_CDS: -1.08 Total: -26.11 kcal Atomic # 14 Polarization: 20.11 SS G_CDS: -5.03 Total: 15.08 kcal Total LS contribution 6.08 Total: 6.08 kcal Total: -28.26 -9.67 -37.93 kcal The number of atoms in the molecule is 53 The average number of expansion shells was 16.00 The maximum number of expansion shells was 16 The minimum number of expansion shells was 16 **** NOTA BENE **** This is the net solvation energy for this exact molecular structure (nuclear and electronic)! The standard-state solvation energy should be obtained as the difference between the heat of formation plus delta-G solvation for the relaxed solvated system and that for the relaxed gas-phase system. ZINC001501848271.mol2 53 1SCF run This is a breakdown of the solvation energy calculated without geometric relaxation in solution: (1) E-EN(sol) electronic-nuclear energy of solute -83.043 kcal (2) G-P(sol) polarization free energy of solvation -28.260 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -111.303 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.673 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -37.933 kcal (6) G-S(sol) free energy of system = (1) + (5) -120.977 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.24 seconds